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Power System MCQs with Explanatory Answers

Power System MCQs with Explanatory Answers

(Generation, Transmission and Distribution  MCQs with Explanatory Answers )
1.
Volume of The Conductor is inversely proportional to the ____________.

  1. Voltage (V)
  2. Half of the Voltage (½ V)
  3. Squire of the Voltage (V2)
  4. None of the above

Show Explanatory Answer

Show Explanatory Answer

Answer:     3     Squire of the Voltage (V2)
Explanation: 
Power in Three Phase Circuits    P = √3 V I Cosθ   OR     I = P / √3 V Cos θ        (1)
Law’s of resistance =                 R = ρ (l /A)                                                    (2)
Power Loss in Three Phase Circuits = P = 3 I2R                                                      (3)
Putting the Values of I and R from Equation (1) and (2) into Equation (3).
P = 3 (P / √3 V Cos θ)2 x [ρ (l /A)]
P = 3 (P2/3 V2 Cos2 θ) x ρ (l /A)        
P = W = P2 ρ l/ V Cos2 θ A… OR … A = P2 ρ l/ V2 Cos2 θ W                              (4)
Volumeof the conductor in Three Phase System= Vol = 3A x Length              (5)
Putting the value of “A” from Equation (4) into Equation (5)
Vol = 3 P2 ρ l/ W V2 Cos2 θ x l 
Vol = 3 P2 ρ l2/ W V2 Cos2 θ 
Hence Proved that Volume of the Conductor is inversely proportional to squire of Voltage
Volume of the Conductor = Vol   ∞ 1/V2

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3 comments

  1. Dear If we will put the value of equation (4) into (5) there should be Length^2 even there is no change in the result as this A = P2 ρ l/ V2 Cos2 θ W (4)<br />Volume of the conductor in Three Phase System= Vol = 3A x Length <br /><br />Vol = 3 P2 ρ l^2/ W V2 Cos2 θ

  2. keep it up!

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